2728085472 has 144 divisors (see below), whose sum is σ = 9387941472. Its totient is φ = 733593600.

The previous prime is 2728085461. The next prime is 2728085491. The reversal of 2728085472 is 2745808272.

2728085472 is a `hidden beast` number, since 27 + 2 + 80 + 8 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529 + ... + 74072.

It is an arithmetic number, because the mean of its divisors is an integer number (65194038).

Almost surely, 2^2728085472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728085472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693970736).

2728085472 is an abundant number, since it is smaller than the sum of its proper divisors (6659856000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2728085472 is a wasteful number, since it uses less digits than its factorization.

2728085472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79641 (or 79630 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 2728085472 is about 52231.0776454019. The cubic root of 2728085472 is about 1397.2881982472.

The spelling of 2728085472 in words is "two billion, seven hundred twenty-eight million, eighty-five thousand, four hundred seventy-two".